0.5(6x-8)=1.4(x-5)-0

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Solution for 0.5(6x-8)=1.4(x-5)-0 equation: 


Simplifying
0.5(6x + -8) = 1.4(x + -5) + 0

Reorder the terms:
0.5(-8 + 6x) = 1.4(x + -5) + 0
(-8 * 0.5 + 6x * 0.5) = 1.4(x + -5) + 0
(-4 + 3x) = 1.4(x + -5) + 0

Reorder the terms:
-4 + 3x = 1.4(-5 + x) + 0
-4 + 3x = (-5 * 1.4 + x * 1.4) + 0
-4 + 3x = (-7 + 1.4x) + 0

Reorder the terms:
-4 + 3x = -7 + 0 + 1.4x

Combine like terms: -7 + 0 = -7
-4 + 3x = -7 + 1.4x

Solving
-4 + 3x = -7 + 1.4x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1.4x' to each side of the equation.
-4 + 3x + -1.4x = -7 + 1.4x + -1.4x

Combine like terms: 3x + -1.4x = 1.6x
-4 + 1.6x = -7 + 1.4x + -1.4x

Combine like terms: 1.4x + -1.4x = 0.0
-4 + 1.6x = -7 + 0.0
-4 + 1.6x = -7

Add '4' to each side of the equation.
-4 + 4 + 1.6x = -7 + 4

Combine like terms: -4 + 4 = 0
0 + 1.6x = -7 + 4
1.6x = -7 + 4

Combine like terms: -7 + 4 = -3
1.6x = -3

Divide each side by '1.6'.
x = -1.875

Simplifying
x = -1.875

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